Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculations

作者: Hans C Andersen

DOI: 10.1016/0021-9991(83)90014-1

关键词: Cartesian coordinate systemConstant (mathematics)Verlet integrationAlgorithmMathematicsTime stepClassical mechanicsEquations of motionEnergy driftMolecular dynamicsShake

摘要: An algorithm, called RATTLE, for integrating the equations of motion in molecular dynamics calculations for molecular models with internal constraints is presented. The algorithm is similar to SHAKE, which is one of the standard methods for performing such calculations. RATTLE calculates the positions and velocities at the next time from the positions and velocities at the present time step, without requiring information about the earlier history. Like SHAKE, it is based on the Verlet algorithm and retains the simplicity of using Cartesian …

参考文章(12)
Aneesur Rahman, Frank H. Stillinger, Molecular Dynamics Study of Liquid Water The Journal of Chemical Physics. ,vol. 55, pp. 3336- 3359 ,(1971) , 10.1063/1.1676585
Richard M. Stratt, Stephen L. Holmgren, David Chandler, Constrained impulsive molecular dynamics Molecular Physics. ,vol. 42, ,(1981) , 10.1080/00268978100100921
A. Rahman, F. H. Stillinger, H. L. Lemberg, Study of a central force model for liquid water by molecular dynamics Journal of Chemical Physics. ,vol. 63, pp. 5223- 5230 ,(1975) , 10.1063/1.431307
William G. Hoover, Denis J. Evans, Richard B. Hickman, Anthony J. C. Ladd, William T. Ashurst, Bill Moran, Lennard-Jones triple-point bulk and shear viscosities. Green-Kubo theory, Hamiltonian mechanics, and nonequilibrium molecular dynamics Physical Review A. ,vol. 22, pp. 1690- 1697 ,(1980) , 10.1103/PHYSREVA.22.1690
G. D. Harp, B. J. Berne, Time-Correlation Functions, Memory Functions, and Molecular Dynamics Physical Review A. ,vol. 2, pp. 975- 996 ,(1970) , 10.1103/PHYSREVA.2.975
Denis J. Evans, Sohail Murad, Singularity free algorithm for molecular dynamics simulation of rigid polyatomics Molecular Physics. ,vol. 34, pp. 327- 331 ,(1977) , 10.1080/00268977700101761
William C. Swope, Hans C. Andersen, Peter H. Berens, Kent R. Wilson, A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: Application to small water clusters Journal of Chemical Physics. ,vol. 76, pp. 637- 649 ,(1982) , 10.1063/1.442716
W.F. van Gunsteren, H.J.C. Berendsen, ALGORITHMS FOR MACROMOLECULAR DYNAMICS AND CONSTRAINT DYNAMICS Molecular Physics. ,vol. 34, pp. 1311- 1327 ,(1977) , 10.1080/00268977700102571
Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J.C Berendsen, Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes Journal of Computational Physics. ,vol. 23, pp. 327- 341 ,(1977) , 10.1016/0021-9991(77)90098-5
Hans C. Andersen, Molecular dynamics simulations at constant pressure and/or temperature Journal of Chemical Physics. ,vol. 72, pp. 2384- 2393 ,(1980) , 10.1063/1.439486